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Finding the Fourth Proportional to 113,190.50, 169,527.21 and 54,068

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Solution

The fourth proportional to 113,190.50, 169,527.21 and 54,068 is: 80,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,190.50 : 169,527.21 = 54,068 : x
  2. Step 2: Convert to fraction form
    113,190.50/169,527.21 = 54,068/x
  3. Step 3: Cross multiply
    113,190.50x = 169,527.21 × 54,068
  4. Step 4: Simplify right side
    113,190.50x = 9,165,997,190.28
  5. Step 5: Solve for x
    x = 9,165,997,190.28/113,190.50
  6. Step 6: Final answer
    x = 80,978.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.